损伤检测中的传感器优化布置方法研究  

A More Efficient Optimal Sensor Placement Method for Structure Damage Detection

作　　者：吴子燕[1] 代凤娟[1] 宋静[1] 吴丹[1] 

机构地区：[1]西北工业大学力学与土木建筑学院,陕西西安710072

出　　处：《西北工业大学学报》2007年第4期503-507,共5页Journal of Northwestern Polytechnical University

基　　金：国家高技术研究发展计划(863计划)资助(2006AA04Z43)

摘　　要：探讨了2种基于数据信息最大化准则的传统传感器优化布置方法:基于Fisher信息阵行列式值最大的有效独立法(EFI)和基于模态应变能最大的运动能量法(KEM)。针对它们的不足提出一种新的传感器优化布置方法——有效独立-驱动点残差法(EFI-DPR)。运用均方差最小准则、抗噪性能最好准则和模态保证准则来评价各种优化布置方法的优劣。数值分析表明:有效独立-驱动点残差法是3种优化方法中最好的方法。Aim. The traditional optimal sensor placement methods are,in our opinion,not efficient in maximizing both the spatial independence and element strain energy.Now,we propose a new way of sensor placement that we believe is much more efficient.In the full paper,we explain our new way in detail;in this abstract,we just add some pertinent remarks to listing the two topics of our explanation.The first topic is：the methodology of a more efficient optimal sensor placement.In the first topic,we present the effective independence driving-point residue（EFI-DPR） method;we discuss its driving point residue（DPR） coefficient;in essence,the DPR is a weighting factor of the effective independence distribution（EID） vector;this methodology concentrates the sensor positions in the high energy content regions resulting in the sensors＇ being quasi-uniformly spaced and symmetrically deployed.The second topic is：the comparison of our new EFI-DPR method of sensor placement with the two traditional methods under three different modal criteria.The first criterion is based on the mean square error calculated with both the FE model and the cubic spline interpolated mode shapes considered.The second criterion is based on the measured information content of each sensor location to investigate on the strength of the acquired signals and their ability to withstand the noise pollution.And the third criterion is the famous modal assurance criterion（MAC）.Finally we give the problem of locating sensors on a bridge structure as a numerical case.The results of numerical analysis,given in two tables and four figures in the full paper,show preliminarily that our EFI-DPR method provides an effective way for optimal sensor placement to identify the vibration characteristics of the studied bridge in terms of the capability to capture the vibration mode shape and signal strength,and is an optimal method better than the other two traditional ones.

关 键 词：传感器优化布置 有效独立-驱动点残差 模态保证准则 

分 类 号：P315.316[天文地球—地震学]